On the Structure of Some Reduced Amalgamated Free Product C*-Algebras

2007/05/27 by Nikolay A. Ivanov, Ivanov, Nikolay A.
Mathematics · #46L09 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Geometric and Algebraic Topology #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.0705.3919

openalex publication_date 2007/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study some reduced free products of C*-algebras with amalgamations. We give sufficient conditions for the positive cone of the K₀ group to be the largest possible. We also give sufficient conditions for simplicity and uniqueness of trace. We use the later result to give a necessary and sufficient condition for simplicity and uniqueness of trace of the reduced C*-algebras of the Baumslag-Solitar groups BS(m,n).

Citations

• On simplicity of reduced C*-algebras of groups

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